A product of two or more factors is equal to zero if and only if at least one of the factors is equal to zero.

the verdict

SUPPORTED

the evidence backs this

Recorded sources

1 source for · 0 against

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AS REPORTEDno primary record reached; this is what the reporting says

Is it true that a product of two or more factors is equal to zero if and only if at least one of the factors is equal to zero?

Yes. Mathematical definitions of the zero-product property confirm that a product of factors is zero if and only if at least one factor is zero.

Verdict: SUPPORTED · 1 source for, 0 against · Last checked 3 Oct 2026

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Evidence for · 1

Wikipedia: Zero-product property

Reference article covering this claim directly

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Wikipedia: Zero-product property. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Zero-product_property

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